Greater number would be = 9 x 6 = 54
Smaller number would be = 9 x 5 = 45
Step-by-step explanation:
Given that the Greatest Common Factor (GCF) of two whole numbers is 9.
Also the ratio is 6:5.
As we know that GCF is the greatest number that divides the two number.
So, if the ratio of two number is 6:5 then the greater number would be:
Greater number would be = 9 x 6 = 54
Smaller number would be = 9 x 5 = 45
Both the number have the ratio of 6:5 (54/45 = 6/5) and have a GCF of 9.
Keywords: Greatest Common Factor (GCF), ratio
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C. 6
Exploration: i got it right.
Let's start by rationalizing the radical:
4√6/√50 * √50/√50
This gets rid of the radical in the denominator, giving us:
4√300/50
√300 can be simplified to √3 * √100 or 10√3. Now we can insert this back into the numerator:
4 * 10√3/50
This is equivalent to:
40√3/50
40/50 can be simplified to 4/5.
Therefore, the answer is 4√3/5.
Answer:
<h3>Domain [
-3 , ∞ ]</h3>
Step-by-step explanation:
Domain is the set of all inputs for which the given function is defined.
graphically it represents the shadow of the graph taken on the x axis from above and below the x axis
Here is the shadow will be formed from -3 till +∞, hence we have our domain as [-3 , ∞ ]
Perimeter (P) = 2L + 2w
64 = 2L + 2w
64 - 2L = 2w
32 - L = w
Area (A) = L x w
= L x (32 - L)
= 32L - L²
To find maximum area, calculate the derivative and set it equal to zero.
A' = 32 - 2L
0 = 32 - 2L
2L = 32
L = 16
Substitute L to solve for y: 32 - L = w → 32 - 16 = w → 16 = w
The maximum area will be 16 ft x 16 ft = 256 ft²